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Finding the Fourth Proportional to 7,670.91, 10,591.11 and 5,875.23

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Solution

The fourth proportional to 7,670.91, 10,591.11 and 5,875.23 is: 8,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.91 : 10,591.11 = 5,875.23 : x
  2. Step 2: Convert to fraction form
    7,670.91/10,591.11 = 5,875.23/x
  3. Step 3: Cross multiply
    7,670.91x = 10,591.11 × 5,875.23
  4. Step 4: Simplify right side
    7,670.91x = 62,225,207.21
  5. Step 5: Solve for x
    x = 62,225,207.21/7,670.91
  6. Step 6: Final answer
    x = 8,111.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.